What is the Least Common Multiple of 47998 and 48003?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 47998 and 48003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47998 and 48003, than apply into the LCM equation.

GCF(47998,48003) = 1
LCM(47998,48003) = ( 47998 × 48003) / 1
LCM(47998,48003) = 2304047994 / 1
LCM(47998,48003) = 2304047994

Least Common Multiple (LCM) of 47998 and 48003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47998 and 48003. First we will calculate the prime factors of 47998 and 48003.

Prime Factorization of 47998

Prime Factorization of 48003

Now multiplying the highest exponent prime factors to calculate the LCM of 47998 and 48003.

LCM(47998,48003) = 2¹ × 103¹ × 233¹ × 3¹ × 16001¹
LCM(47998,48003) = 2304047994